Question

a square plot has a 3m wide path surrounding it .if the area of the path is 132sq .m find thearea of plot and the answer is 64 ​

Answer 1

Step-by-step explanation:

Let the side of the plot be 'x'

Therefore, the total side including the path

=x + (3+3)

=x + 6

Therefore area of the plot=x ^2

Therefore area of the plot including path

= (x+6)^2

=x^2 + 12x + 36

A/Q

x^2 + 12x + 36-x^2=132

12x + 36= 132

12x=132-36

=96

x=96/12

=8m

Area of the plot= side x side

= 8 x 8

=64 sq m